Question

A students' choir contains 25 children and only 5 of them play the piano. If a child is selected at random, what is the probability that the child DOES NOT play the piano? Select all the right answers.

Answer 1

Answer:

probability that the child DOES NOT play the piano

$P(E^{-}) =\frac{4}{5}$

Step-by-step explanation:

A students' choir contains 25 children

n(S) =25

The number of students play the piano =5

Let 'E' be the event of the child play the piano so n(E) =5

The probability of that the child play the piano

 $P(E) = \frac{n(E)}{n(S)}$

 $P(E) = \frac{5}{25}= \frac{1}{5}$

Let 'E⁻ be the event of the child play does not play the piano

$P(E^{-}) = 1- P(E)$

$P(E^{-}) = 1- \frac{1}{5} =\frac{4}{5}$

Conclusion:-

probability that the child DOES NOT play the piano

$P(E^{-}) =\frac{4}{5}$